# Comparing measure theoretic entropy for $\sigma $-finite measures with topological entropy

Magda Komorníková; Jozef Komorník

Mathematica Slovaca (1983)

- Volume: 33, Issue: 1, page 3-8
- ISSN: 0139-9918

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topKomorníková, Magda, and Komorník, Jozef. "Comparing measure theoretic entropy for $\sigma $-finite measures with topological entropy." Mathematica Slovaca 33.1 (1983): 3-8. <http://eudml.org/doc/34143>.

@article{Komorníková1983,

author = {Komorníková, Magda, Komorník, Jozef},

journal = {Mathematica Slovaca},

keywords = {regular measure on topological space; topological entropy; measure theoretic entropy; comparing theorem for entropies of a continuous transformation of a noncompact space; invariant probability measures},

language = {eng},

number = {1},

pages = {3-8},

publisher = {Mathematical Institute of the Slovak Academy of Sciences},

title = {Comparing measure theoretic entropy for $\sigma $-finite measures with topological entropy},

url = {http://eudml.org/doc/34143},

volume = {33},

year = {1983},

}

TY - JOUR

AU - Komorníková, Magda

AU - Komorník, Jozef

TI - Comparing measure theoretic entropy for $\sigma $-finite measures with topological entropy

JO - Mathematica Slovaca

PY - 1983

PB - Mathematical Institute of the Slovak Academy of Sciences

VL - 33

IS - 1

SP - 3

EP - 8

LA - eng

KW - regular measure on topological space; topological entropy; measure theoretic entropy; comparing theorem for entropies of a continuous transformation of a noncompact space; invariant probability measures

UR - http://eudml.org/doc/34143

ER -

## References

top- ADLER R. L., KONHEIM A. G., McANDREW M. H., Topological entropy, Trans. Amer. Math. Soc., 114, 1965, 309-319. (1965) Zbl0127.13102MR0175106
- BILLINGSLEY P., Ergodic Theory and Information, John Wiley and Sons, 1965. (1965) Zbl0141.16702MR0192027
- DENKER M., GRILLENBERG, Ch., SIGMUND K., Ergodic Theory on Compact Spaces, Lect. Notes in Math. 527, Springer, Berlin 1976. (1976) MR0457675
- FRIEDMAN N. A., Introduction to Ergodic Theory, Van Nostrand, New York 1970. (1970) Zbl0212.40004MR0435350
- GOODMAN T.N.T., Relating Topological Entropy with Measure Theoretic Entropy, Bull. London Math. Soc. 3, 1971, 176-180. (1971) MR0289746
- GOODWIN L., Comparing Topological Entropy with Measure Theoretic Entropy, Amer. J. Math. 94, 1972, 366-388. (1972) MR0310191
- MISIUREWICZ M., Topological Conditional Entropy, Studia Math. T. LV, 1976, 175-200. (1976) Zbl0355.54035MR0415587
- WALTERS P., Ergodic Theory - Introductory Lectures, Springer 458, 1975. (1975) Zbl0299.28012MR0480949

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